Voodoo vs Voodoo
The polygraph is just the same as a magicians trick, or a seance etc. Various props and acting are used to condition the subject to believe that lying will be detected, so that when they do lie, their stress levels will go up as a result of the tension build up. Conditioning your society to believe in them as well helps to start the whole process.
Then of course all the "Beat the lie detector" tricks work exactly the same way, the "Magic feather" effect.
Because you believe that doing this "trick" enables you to lie undetected, you don't get stressed when lying.
The actual trick itself doesn't matter at all, it just allows you to sidestep the conditioning.
Teaching more that one "trick" adds confidence as the subject can suppress their doubts in the efficacy of their feather by trying a different technique if the "Polygraph technician's" performance starts to overpower their belief in the "feather".
Unfortunate that the Federal agencies have taken the wrong stance with this, by imprisoning someone who says they can let you pass the test, they have verified the "feather" must work in the minds of future customers.